40332332040000 has 2240 divisors, whose sum is σ = 189582216671232. Its totient is φ = 7280640000000.

The previous prime is 40332332039963. The next prime is 40332332040037. The reversal of 40332332040000 is 4023323304.

40332332040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40332332039963) and next prime (40332332040037).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-3 number, since 3×40332332040000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2042030125 + ... + 2042049875.

Almost surely, 2^{40332332040000} is an apocalyptic number.

40332332040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40332332040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94791108335616).

40332332040000 is an abundant number, since it is smaller than the sum of its proper divisors (149249884631232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40332332040000 is a wasteful number, since it uses less digits than its factorization.

40332332040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19834 (or 19809 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 40332332040000 its reverse (4023323304), we get a palindrome (40336355363304).

The spelling of 40332332040000 in words is "forty trillion, three hundred thirty-two billion, three hundred thirty-two million, forty thousand".